Answer:
y = -5x + 7
Step-by-step explanation:
Given that the location of the points are:
A(-4, 1), B(6, 3), C(-1, -5) and D(5, -1)
The location of the bisector of a line is given as:
[tex]x=\frac{x_1+x_2}{2} \\\\y=\frac{y_1+y_2}{2}[/tex]
If E(x1, y1) is the bisector of segment AB then the location of E is at:
[tex]x_1 =\frac{-4+6}{2}=1 \\\\y_1=\frac{1+3}{2}=2[/tex]
Hence E is at (1, 2)
If F(x2, y2) is the bisector of segment CD then the location of F is at:
[tex]x_2 =\frac{-1+5}{2}=2 \\\\y_2=\frac{-5-1}{2}=-3[/tex]
Hence F is at (2, -3)
Hence the line that is a segment bisector of both AB and CD pass through the point (1, 2) and (2, -3).
The equation of the line is given by:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-2=\frac{-3-2}{2-1}(x-1)\\ \\y-2=-5(x-1)\\\\y-2=-5x+5\\\\y=-5x+7[/tex]
Answer: The equation is: y = -5x + 7.
Step-by-step explanation:
Given that the location of the points are:
A(-4, 1), B(6, 3), C(-1, -5) and D(5, -1).
Midpoint of A(-4, 1), B(6, 3) is = [tex]\left(\frac{\left(-4+6\right)}{2},\frac{\left(1+3\right)}{2}\right)=(1,2)[/tex].
Midpoint of C(-1, -5) and D(5, -1) is [tex]\left(\frac{\left(-1+5\right)}{2},\frac{\left(-5-1\right)}{2}\right)=(2,-3)[/tex].
Using point slope formula:
[tex]\frac{y-2}{x-1}=\frac{-3-2}{2-1}\\\frac{y-2}{x-1}=-5\\y-2=-5x+5\\y=-5x+7[/tex]
Learn more: https://brainly.com/question/1594198
Nina's grades could be better. She gets about five hours of sleep every weeknight and ten hours per night on weekends. How much sleep should she get to better concentrate on schoolwork? five to six hours every night nine to ten hours every night a total of forty hours a week a minimum of eighty hours a week Save and Exit Next Mark this and return
Answer:
The correct option is;
A total of forty hours a week
Step-by-step explanation:
The given information in the question are;
The number of hours of sleep Nina gets during weeknights = five hours
The number of hours of sleep Nina gets per night on weekends = ten hours
The number of days in a week = 5 days
The number of days in a weekend = 2 days
Therefore;
The number of hours of sleep Nina gets per week = 5 days × 5 hours/day + 2 days × 10 hours/day
∴ The number of hours of sleep Nina gets per week = 25 hours + 20 hours = 45 hours
The number of hours of sleep Nina gets per week = 45 hours
To better concentrate on schoolwork, Nina could get a total of forty hours a week of sleep a week to increase the number of hours she spends weekly on her schoolwork by up to 5 hours (45 hours - 40 hours).
Answer:
nine to ten hours every night hope o helped bbbbbbbbbbbbbbbbbbbbyyyyyyyyyyyyeeeeeeeee
Step-by-step explanation:
find the sum of first 22 terms of AP 8, 3, -2
PLEASE HELP QUICK!!!!! Find the value of x
Answer:
x = 22
Step-by-step explanation:
158 + x + 148 + 32 must sum up to 360 as this is a quadrilateral. Thus:
x + 338 = 360.
Subtracting 338 from both sides, we get x = 22
What is -3/4 + 2 3/4? A. 3 1/2 B. 3 3/4 C. 2 1/2 D. 2
Answer:
The correct answer is D. 2
Step-by-step explanation:
i think answer is D.2
A ratio that is equivalent to 5:2 is?
Find the exact distance between the points (8,-1) and (2,2).
• 45
• 101
• 745
• V 101
Al simplificar esta expresion logaritmica, cual es la forma mas simple?
Answer:
La respuesta es
[tex] \frac{1}{2} [/tex]Step-by-step explanation:
[tex] log_{5}( \sqrt{5} ) [/tex]Escribe la expresión en forma exponencial con base 5
Eso es
[tex] log_{5}(5)^{ \frac{1}{2} } [/tex]Usando las reglas de los logaritmos que
[tex] log_{ a}( {a})^{x} = x[/tex]Simplifica la expresión
Tenemos la respuesta final como
[tex] \frac{1}{2} [/tex]Espero que esto te ayude
You
5
Is a rational number?
00
yes
no
Submit
Write an inequality for the following statement.
9 is greater than a
Answer:
9>a
Step-by-step explanation:
The greater than symbol is >
The less than symbol is <
It can be helpful to imagine the signs as little crocodile mouths. They will turn their heads to the biggest catch, or in this case, the greater number. So the open end of the sign will be towards the greater number.
Answer:
9>a
Step-by-step explanation:
the side with the bigger opening means that side of the inequality has a greater value so since 9 is greater than a the bigger opening will go to 9.
√50 inrrational or rational
Answer:
it is irrational
Step-by-step explanation:
hav a nice dAY
divide 6/13 by 6/12 in fraction form
when you divide 6/13 by 6/12 you should be getting 12/13
step by step :
take the reciprocal ( flipping the numerator and denominator ) of the second fraction and changing the division sign to multiplication :
it should look like this :6/13 × 12/6
the next step is to multiply the numerator and denominator
it should look like this :6 × 12 / 13 × 6 = 72/78
the fraction can be reduced by dividing numerator and denominator by greatest common factor of 72 and 78
here the greatest common factor will be 6
it should look like this :
72 ÷ 6 / 78 ÷ 6
you should get 12 / 13 as an answer
so that's it :)
hope this helped !
(x^4)^6= Simplify usiong the lawas of exponents pexplain if can
Answer:
x^10
Step-by-step explanation:
exponent multiplication is like addition for exponents
Answer:
x^24
Step-by-step explanation:
Four hundred vouchers were sold for a carwash. Vouchers to wash trucks were $4, while vouchers to wash compact cars were $3. If the total sales were $1350, how many of each type of voucher were sold?
Answer:
150 vouchers to wash trucks were sold
250 vouchers to wash compact cars were sold
Step-by-step explanation:
Here, we are interested in calculating the number of each type of vouchers sold.
Let the number of vouchers to wash trucks be x while the number of vouchers to wash compact trucks be y.
Firstly, we know that both sums up to be 400.
Mathematically;
x + y = 400 •••••••••(i)
Secondly,
since a voucher to wash trucks sell $4, and we sold a total of x, the amount generated from selling is 4 * x = $4x
Same way for the vouchers to wash compact cars, we have a total of $3 * y = $3y
The sum of both gives $1350, which is the total sales.
Mathematically;
4x + 3y = 1350 ••••••(ii)
So we have two equations to solve simultaneously;
x + y = 400
4x + 3y = 1350
Multiply equation i by 4 , we have;
4x + 4y = 1600
4x + 3y = 1350
Subtract equation ii from i, we have 4y-3y = 1600-1350
y = 250
From equation 1, we know that
x + y = 400
This means that;
x = 400 -y
x = 400 -250
x = 150
Solve the equation for x.
(x - 4) - (x + 7) = 8x
11
Answer:
-11 is the answer. I think
-4 2/3+ 1 5/6 pls help me
Answer:
-2.83~
Step-by-step explanation:
google :)
Which domain window settings would be appropriate if you wanted to graph the function below in radians for exactly
two periods?
f(x) = cos(x)
Xmin = 0 Xmax = 720
O Xmin = 0 Xmax = 2pi
O Xmin = -180 Xmax = 180
O Xmin = - Xmax = 3pi
Answer:
Xmin = –π Xmax = 3π
Step-by-step explanation:
Domain window settings Xmin = 0 & Xmax = 720° would be appropriate if you want to graph the function for exactly two periods.
What is the period of a function?The distance between the repetition of any function is called the period of the function.
For example, for the cosine function, the distance between the repetition of the function is [tex]2\pi[/tex]. So the period of the cosine function is [tex]2\pi[/tex].
If you want to graph the function for exactly two periods the difference between the first and last element of the domain should be two times the period of the function.
i.e. If the domain is [a, b] the value of [tex]b-a = 4\pi[/tex].
Option(1) b-a =720° [tex]=4\pi[/tex]
Option(2) b-a =[tex]2\pi[/tex] [tex]\neq 4\pi[/tex]
Option(3) b-a =360 [tex]\neq 4\pi[/tex]
Option(4) b-a =[tex]3\pi[/tex][tex]\neq 4\pi[/tex]
So, correct option is option(1) i.e. Xmin = 0 & Xmax = 720°
Hence, domain window settings Xmin = 0 & Xmax = 720° would be appropriate if you want to graph the function for exactly two periods.
To get more about the period of a function visit:
https://brainly.com/question/3511040
1.) x/-2=-3
What is the answer of this question
Answer:
x = 6
///////////////////////
Factor each polynomial.
15d -12cd^2
Answer:
3d(5-4cd)
Step-by-step explanation:
15d - 12cd² (we see that the highest common factor of 15 and 12 is 3, hence we can factor 3 out)
= 3 (5d - 4cd²) (we also notice that d appears in both terms in the parantheses. hence we can also factor d out)
= 3d(5-4cd)
A car has 15 gallons of gas in its tank. The car travels 35 miles per gallon of gas. It uses 135 of a gallon of gas to go 1 mile. A. How far can the car travel with 15 gallons? With 15 gallons of gas, the car can travel 525 miles. B. How much gas does the car use to go 100 miles? The car will need gallons to travel 100 miles.
Answer:
525 miles
Step-by-step explanation:
Two unit rates are given in this problem:
miles per gallon
gallons per mile
Since we want to find miles, the appropriate rate to use is miles per gallon:
[tex]distance = \frac{miles}{gallon} (gallons)\\distance = \frac{35 miles}{gallon} (15 gallons) = 525[/tex]
Solve each equation. Give exact solutions. Then approximate each solution to the
nearest hundredth, if necessary.
1). x2 = 121
2). 4x? = 20
3). 4x² + 5 = 20
Answer:
sorry dont know the answer im new to this website
Step-by-step explanation:
Answer:
1.x=11
2.x=+5=+2.2362
3.x=+3.750=+1.93649
Jose unlocks his cellphone by placing his right thumb on a square of 1 centimeter by 1 centimeter at the center of the screen. Upon recognizing his thumbprint, the square expands outward. The cellphone unlocks when the perimeter reaches 32 centimeters, taking a total of 2.5 seconds. What is the perimeter of the square after 1.5 seconds? How is the answer 20.8?
Answer:
20.8 cm
Step-by-step explanation:
Perimeter of square = 4a
Dimension of the thumb print = 1 cm by 1cm
Perimeter of the size of the square (thumb print) = 4 × 1
= 4 cm
We are told in the question that:
The cellphone unlocks when the perimeter reaches 32 centimeters, taking a total of 2.5 seconds.
Hence,
32cm - 4cm = 28cm
What is the perimeter of the square after 1.5 seconds?
We set up a proportion
Time / perimeter
= 1.5/x = 2.5/ 28
Cross Multiply
= 2.5x = 1.5 × 28
x = 1.5 × 28/2.5
x = 16.8.
Therefore, the perimeter of the square after 1.5 seconds
= 16.8cm + perimeter of the square before expansion.
=16.8 cm + 4 cm
= 20.8 cm
Answer:
C: 20.8 centimeters
Step-by-step explanation:
Determine the interval on which the function is constant
(-2,2)
Just took the quiz, this is 100% correct.
Please mark brainliest! :)
A constant function is a function having the same value of range for different values of the domain.
The interval on which the given function is constant is x ∈ [ -2, 2 ].
What is a constant function?A constant function is a function having the same value of range for different values of the domain.
We have,
The graph shows that the function is constant at an interval.
The graph of a constant function is always a straight line.
We see that we have a short straight line on the graph.
The straight line starts from the x = -2 till x = 2 on the x-axis.
The straight line has the constant y = -2 on the y-axis.
The x values are called the domain.
The y value is called the range.
The interval on which the graph is constant is x ∈ [ -2, 2 ].
Thus, the interval on which the given function is constant is x ∈ [ -2, 2 ].
Learn more about functions here:
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Bonnie filled her car's gas tank. She put in 10 1/2 gallons and paid $15.36. Write the ratio in fractional form and determine the cost of gasoline per gallon
Answer:
1: 2 and $3.072
Step-by-step explanation:
According to the question, the data provided is as follows
10 half gallons
For this she paid $15.36
Based on the above information,
The ratio in fractional form is
= 1 ÷ 2
= 1 : 2
And, the cost of gasoline per gallon is
Since half of 10 gallons is 5
And, the amount paid is $15.36
So, the cost of gasoline per gallon is
= $15.36 ÷ 5
= $3.072
Kaia calculates the she spends 75 minutes of a school day in science class. If she spends 500 minutes in school, what percent of her school day does Kaia spend in science class
Answer:
15%
Step-by-step explanation:
Since a percent is out of 100 we can make 75/500 to have the denominator of 100.
To do that you divide
500/5 = 100
and for the numerator
75/5 = 15
whatever you do to one side you must do to the other that's why I divided both sides by 5. The ending fraction would be 15/100 which is the same as 15%
Hope that helps and have a great day!
Un emprendedor sabe que para vender x de sus productos diariamente el precio de cada uno debe ser 96.800-10x pesos. ¿Cuál es el precio, en pesos, al que debe cobrar sus productos para vender 200 unidades diarias? *
Responder:
94,800 pesos
Explicación paso a paso:
Dado que:
Para vender x de un producto diariamente, el precio al que debe vender cada uno de sus productos = 96800 - 10x pesos
Por lo tanto, para vender 200 unidades al día, el precio a cobrar será:
Sustituye 200 en lugar de x en la ecuación de precio anterior,
Es decir ;
x = 200
Precio = 96,800 - 10 (200) pesos
Precio = 96,800 - 2000
Precio = 94,800 pesos
De ahí que el precio a cobrar al vender 200 unidades diarias sea de 94.800 pesos.
Which is the correct classification of
?
3/8
cosec A + 1 / cosec A - 1 = 1 + sin A / 1 - sin A
Step-by-step explanation:
you can see the steps above
Step-by-step explanation:
Hey there!!!
see explanation in picture.
Hope it helps...
add 6 to the quotient of j and k
Answer:
j/k + 6
Step-by-step explanation:
Add 6 to the quotient of j and k comes out to:
j/k + 6
Which problem could be solved with the expression (5+3) = 2?
Answer:
A
Step-by-step explanation:
Do 5-3=2 and then you have your answer if I got it wrong sorry
Answer: A
Step-by-step explanation:
solve the equation
5+3 =8
plug in each problem.
8-2= 6
WXYZ is a quadrilateral in which
W^=108 degrees, X^=88 degrees, Y^=57 degrees and WX^Y= 31 degrees.
Calculate angle WZ^X and XZ^Y
Plzzz i really need to know the answer
Step-by-step explanation:
what is your name what is 1000 divided by 1000